Logarithms

Mason McKinney, Jarrett Barksdale, Cierra Weatherman

Log and Exponential Form

Log Form: log(base b)X=Y


Exponential Form: b^y=b

Converting Between Logarithmic and Exponential Form 070-46

example problems

1. 4^3=64


2.log(base M)Z=T


3. log(base x)32=5 convert and solve for X



Answers:

1. log(base 4)64=3


2.M^T=Z


3. X^5=32 X=2

Condensed and Expanded form:

Condensed form: LogAB

Expanded form: LogA+LogB


Condensed form: LogA/B

Expanded form: LogA-LogB


Condensed form: LogA^2

Expanded form: 2LogA

Logarithms : Expanding and Combining , Example 1

example problems

1. Logx^2y^4


2. logM^2/K


answers:


1. 2logX + 4logY


2. 2logM - logK

Natural Logs

Natural Base (e) and Natural Logarithms (ln)

Examples

1. ln3x=2

2. ln(x)+ ln(2x)=2




Answers:

1. x= 2.4630

2. x=1.9221

Graphing Logs

To sketch the graph of y = loga x, you can use the fact that the graphs of inverse functions are reflections of each other in the line y = x.


this website has really good notes


http://www.carlisleschools.org/webpages/wolfer/files/sb%20notes%20graphing%20logs%20transformations1.pdf

Graphing logarithmic functions | Exponential and logarithmic functions | Algebra II | Khan Academy

example problems

this is a link with problems and then the answers are at the bottom of the page


https://www.amphi.com/media/4939576/graphing-logarithmic-functions-worksheet.pdf

Mason McKinney

Hi, i like cheeseburgers, a lot. My friends call me pud.

Cierra Weatherman

Hi, i like to go by Tito, please call me that. I as well like cheeseburgers.

Jarrett Barksdale

My name is actually Garrett or Jared. I hated making the video. Im actually a reindeer.